{"title":"广义负正交相关随机变量在次线性期望下的完全收敛和完全矩收敛","authors":"A. Kuczmaszewska","doi":"10.1080/17442508.2022.2164695","DOIUrl":null,"url":null,"abstract":"In this work there is considered complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations. The presented results concern the weighted sums of these random variables and extend the corresponding results in classical probability space to the case of sub-linear expectation space.","PeriodicalId":50447,"journal":{"name":"Finance and Stochastics","volume":"11 1","pages":"1101 - 1119"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations\",\"authors\":\"A. Kuczmaszewska\",\"doi\":\"10.1080/17442508.2022.2164695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work there is considered complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations. The presented results concern the weighted sums of these random variables and extend the corresponding results in classical probability space to the case of sub-linear expectation space.\",\"PeriodicalId\":50447,\"journal\":{\"name\":\"Finance and Stochastics\",\"volume\":\"11 1\",\"pages\":\"1101 - 1119\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Finance and Stochastics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.1080/17442508.2022.2164695\",\"RegionNum\":2,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Finance and Stochastics","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1080/17442508.2022.2164695","RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
Complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations
In this work there is considered complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations. The presented results concern the weighted sums of these random variables and extend the corresponding results in classical probability space to the case of sub-linear expectation space.
期刊介绍:
The purpose of Finance and Stochastics is to provide a high standard publication forum for research
- in all areas of finance based on stochastic methods
- on specific topics in mathematics (in particular probability theory, statistics and stochastic analysis) motivated by the analysis of problems in finance.
Finance and Stochastics encompasses - but is not limited to - the following fields:
- theory and analysis of financial markets
- continuous time finance
- derivatives research
- insurance in relation to finance
- portfolio selection
- credit and market risks
- term structure models
- statistical and empirical financial studies based on advanced stochastic methods
- numerical and stochastic solution techniques for problems in finance
- intertemporal economics, uncertainty and information in relation to finance.